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Finding the Fourth Proportional to 328,092.30, 492,138.45 and 78,774.30

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Solution

The fourth proportional to 328,092.30, 492,138.45 and 78,774.30 is: 118,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,092.30 : 492,138.45 = 78,774.30 : x
  2. Step 2: Convert to fraction form
    328,092.30/492,138.45 = 78,774.30/x
  3. Step 3: Cross multiply
    328,092.30x = 492,138.45 × 78,774.30
  4. Step 4: Simplify right side
    328,092.30x = 38,767,861,901.84
  5. Step 5: Solve for x
    x = 38,767,861,901.84/328,092.30
  6. Step 6: Final answer
    x = 118,161.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.